Hagen Kleinert (born 15 June ) is Professor of Theoretical Physics at the Free University of He also discovered an alternative to Feynman’s time-sliced path integral construction which can be used to solve the path integral formulations. Buy Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Polymer Physics, and Financial Markets by Hagen Kleinert Paperback $ Buy Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics, Hagen Kleinert is Professor of Physics at the Freie Universität Berlin, Germany.

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His contribution [1] to the memorial volume celebrating the th birthday of Lev Davidovich Landau earned him the Majorana Prize with Medal. My library Help Advanced Book Search. The Russian physicist A.

## Hagen Kleinert

Ibtegrals Read Edit View history. This is the fifth, expanded edition of the comprehensive textbook published in on the theory and applications of path integrals. Hagen Kleinert Limited preview – A corresponding extension of the large-order perturbation theory now also applies to small orders. This curvature reproduces all the effects of general relativitybut leads to different physics than string theory at the scale of the Planck length.

At the summer school in Integras he proposed the existence of broken supersymmetry in atomic nuclei, [15] which has since been observed experimentally. By using this site, you agree patj the Terms of Use and Privacy Policy. The second is a new nonholonomic mapping principle carrying physical laws in flat spacetime to spacetimes with curvature and torsion, which leads to time-sliced path integrals that are manifestly invariant under coordinate transformations.

Kleinert’s 60th birthday was honored by a Festschrift and a Festcolloquium with 65 contributions by international colleagues for instance Y. Kleinetr studied physics at the University of Hanover between andand at several American universities including Georgia Institute of Technologywhere he learned general relativity as a graduate student from George Gamowone of the fathers of the Big Bang theory.

A consistent implementation of this property leads to an extension of the theory of generalized functions by defining uniquely products of distributions. Hagen Kleinert No preview available – In he introduced hwgen stiffness into the theory of stringswhich had formerly been characterized by tension alone. From Wikipedia, the free encyclopedia. In addition to the time-sliced definition, the author gives a perturbative, coordinate-independent klenert of path integrals, which makes them invariant under coordinate transformations.

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Hagne theory is based on a disorder field theory dual to the order field theory of L. Within the quantum field theories of quarks he found the origin [11] of the algebra of Regge residues conjectured by N. Photo taken in Annemarie Kleinert since with whom he has a son Michael Kleinert.

The experimental verification is still missing. University of Hanover University of Colorado, Boulder.

George Gamow Richard Feynman. He is married to Dr. Selected pages Title Page.

Maki he proposed and clarified in a possible icosahedral phase of quasicrystals. Retrieved from ” https: Lettere al Nuovo Cimento. Later, Kleinert was to collaborate with Feynman [5] in some of the latter’s last work. Polyakov simultaneously proposed a kleineet extension, and so the model is now known as the Polyakov-Kleinert string. In this theory, the statistical properties of fluctuating vortex or defect lines are described as elementary excitations with the help of fields, whose Feynman diagrams are the pictures of the lines.

### Homepage of Hagen Kleinert

This so-called variational perturbation theory yields at present the most accurate theory of critical exponents [7] observable close to second-order phase transitionsas confirmed for superfluid helium in satellite experiments. Devreeseand K. The solutions have been made possible by two major advances.

Kleinert is a senior member of the faculty for the International Relativistic Astrophysics Ph. Free University of Berlin. Inhe considered the existence of a novel Riemann particle.

Special attention is devoted to path integrals with topological restrictions needed to understand the statistical properties of elementary particles and the entanglement phenomena in polymer physics and biophysics.

### Hagen Kleinert – Wikipedia

Tunneling processes are treated in detail, with applications to the lifetimes of supercurrents, the stability of metastable thermodynamic phases, and the large-order behavior of perturbation integeals. Landau for phase transitions which Kleinert developed in the books on Gauge Fields in Condensed Matter. The convergence is uniform from weak to strong couplings, opening a way to precise evaluations of analytically unsolvable path integrals in the strong-coupling regime where they describe critical phenomena.

Chervyakov, Kleinert developed an extension of the theory of distributions from linear spaces to semigroups by defining their products uniquely in the mathematical theory, only linear combinations are defined.

As an alternative to string theoryKleinert used the complete analogy between non-Euclidean geometry and the geometry of crystals with defects to construct a model of the universe called the World Crystal or Planck-Kleinert crystal.